Ben bought 44 more erasers than Peter and Peter bought 22 erasers more than Vanessa. The total number of erasers Ben and Peter bought was 4 times the number of erasers Vanessa bought.
- How many erasers does Ben need to give Peter so that they have the same number of erasers?
- How many erasers did all three of them have altogether?
Ben |
Peter |
Vanessa |
1 u + 22 + 44 |
1 u + 22 |
1 u |
4 u |
1 u |
(a)
Number of erasers that Ben needs to give Peter so that they have same number of erasers
= 44 ÷ 2
= 22
(b)
Total number of erasers that Ben and Peter had
= 1 u + 22 + 44 + 1 u + 22
= 1 u + 1 u + 22 + 44 + 22
= 2 u + 88
4 u = 2 u + 88
4 u - 2 u = 88
2 u = 88
1 u = 88 ÷ 2 = 44
Total number of erasers that all three of them had
= 4 u + 1 u
= 5 u
= 5 x 44
= 220
Answer(s): (a) 22; (b) 220